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[1] M. O. Zacate,W. E. Evenson, “StochasticHyperfine InteractionsModelingLibrary,”ComputerPhysics
Communications 182,1061-1077 (2011).
Simulating Mössbauer Effect Using SHIML
Chad M. Johnston and M. O. Zacate
The stochastichyperfine interactionmodelinglibrary(SHIML) isa collectionof computer
routineswritteninthe Cprogramminglanguage [1]. Itwas createdto assistresearchers quicklyanalyze
experimental datathatare influencedby fluctuatinghyperfineinteractions. The original versionof
SHIML onlysupportedexperimental techniquesthatmeasure asingle probe spinstate. Thisleavesout
Mössbauerspectroscopy whichisan importantexperimentalmethod usedtomeasure fluctuating
hyperfine interactions.
Thissummer,we modifiedthe code toinclude anoptionfora secondspinstate. Thisrequired
newroutines,whichwe developedusingthe originalsingle spinstate routines astemplates, toreadand
performthe correct operationsonthe new spinstate. We have alsowrittenanexample programto
demonstrate howSHIMLcan nowbe usedto simulate Mössbauerspectroscopy. We didthisby
modifyingcode developedoriginallytosimulate perturbedangularcorrelationspectra. We hadto add
the abilitytoreadMössbauer-specificparametersandchange the spectral function to 𝐺 𝐿( 𝜔) =
Re [∑ ( 𝑔 𝐿) 𝑞
1
1
2
Γ−𝜆 𝑞−𝑖( 𝜔+𝜔 𝑞)𝑞 ]. Where ( 𝑔 𝐿) 𝑞 is a functionof eigenvectorsof the Blume Matrix,which is
calculatedbythe newversionof SHIML. Gamma (Γ) is the natural linewidth; alsoλq andωq are the real
and imaginarypartsof the eigenvaluesof the Blume Matrix.
Preliminarytestinghasgenerated Mössbauerspectrawhose behaviormimics
expected/publishedspectra. However,more rigoroustestingisrequiredbeforethe secondversionof
SHIML isreleasedforpublicuse. The changesthatwere made thissummerhave increasedthe
versatilityof the library. NowusingSHIMLresearcherscanquicklyanalyze datagatheredfromamuch
widerrange of experimental techniques.

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Report-SHIML

  • 1. [1] M. O. Zacate,W. E. Evenson, “StochasticHyperfine InteractionsModelingLibrary,”ComputerPhysics Communications 182,1061-1077 (2011). Simulating Mössbauer Effect Using SHIML Chad M. Johnston and M. O. Zacate The stochastichyperfine interactionmodelinglibrary(SHIML) isa collectionof computer routineswritteninthe Cprogramminglanguage [1]. Itwas createdto assistresearchers quicklyanalyze experimental datathatare influencedby fluctuatinghyperfineinteractions. The original versionof SHIML onlysupportedexperimental techniquesthatmeasure asingle probe spinstate. Thisleavesout Mössbauerspectroscopy whichisan importantexperimentalmethod usedtomeasure fluctuating hyperfine interactions. Thissummer,we modifiedthe code toinclude anoptionfora secondspinstate. Thisrequired newroutines,whichwe developedusingthe originalsingle spinstate routines astemplates, toreadand performthe correct operationsonthe new spinstate. We have alsowrittenanexample programto demonstrate howSHIMLcan nowbe usedto simulate Mössbauerspectroscopy. We didthisby modifyingcode developedoriginallytosimulate perturbedangularcorrelationspectra. We hadto add the abilitytoreadMössbauer-specificparametersandchange the spectral function to 𝐺 𝐿( 𝜔) = Re [∑ ( 𝑔 𝐿) 𝑞 1 1 2 Γ−𝜆 𝑞−𝑖( 𝜔+𝜔 𝑞)𝑞 ]. Where ( 𝑔 𝐿) 𝑞 is a functionof eigenvectorsof the Blume Matrix,which is calculatedbythe newversionof SHIML. Gamma (Γ) is the natural linewidth; alsoλq andωq are the real and imaginarypartsof the eigenvaluesof the Blume Matrix. Preliminarytestinghasgenerated Mössbauerspectrawhose behaviormimics expected/publishedspectra. However,more rigoroustestingisrequiredbeforethe secondversionof SHIML isreleasedforpublicuse. The changesthatwere made thissummerhave increasedthe versatilityof the library. NowusingSHIMLresearcherscanquicklyanalyze datagatheredfromamuch widerrange of experimental techniques.